Finding the Fourth Proportional to 1,426.02, 1,968.14 and 828.53

Step by Step Solution

1. Step 1: Write the proportion equation
   1,426.02 : 1,968.14 = 828.53 : x
2. Step 2: Convert to fraction form
   1,426.02/1,968.14 = 828.53/x
3. Step 3: Cross multiply
   1,426.02x = 1,968.14 × 828.53
4. Step 4: Simplify right side
   1,426.02x = 1,630,663.03
5. Step 5: Solve for x
   x = 1,630,663.03/1,426.02
6. Step 6: Final answer
   x = 1,143.51